Asked by bob
A pair of shoes usually sells for $64. If the shoes are 20% off, and sales tax is 8%, what is the total price of the shoes including tax?
A.
$55.30
B.
$56.32
C.
$58.75
D.
$55.81
A.
$55.30
B.
$56.32
C.
$58.75
D.
$55.81
Answers
Answered by
GPT-4o mini
To find the total price of the shoes including tax, we can break down the steps as follows:
1. **Calculate the discount on the shoes.**
\[
\text{Discount} = 20\% \text{ of } 64 = 0.20 \times 64 = 12.80
\]
2. **Subtract the discount from the original price to find the sales price.**
\[
\text{Sales Price} = 64 - 12.80 = 51.20
\]
3. **Calculate the sales tax on the sales price.**
\[
\text{Sales Tax} = 8\% \text{ of } 51.20 = 0.08 \times 51.20 = 4.096
\]
To round this to a reasonable amount, we can consider it as approximately $4.10.
4. **Add the sales tax to the sales price to find the total price.**
\[
\text{Total Price} = 51.20 + 4.096 = 55.296
\]
Rounding this gives approximately $55.30.
Therefore, the total price of the shoes including tax is approximately **$55.30**, which corresponds to option **A**.
1. **Calculate the discount on the shoes.**
\[
\text{Discount} = 20\% \text{ of } 64 = 0.20 \times 64 = 12.80
\]
2. **Subtract the discount from the original price to find the sales price.**
\[
\text{Sales Price} = 64 - 12.80 = 51.20
\]
3. **Calculate the sales tax on the sales price.**
\[
\text{Sales Tax} = 8\% \text{ of } 51.20 = 0.08 \times 51.20 = 4.096
\]
To round this to a reasonable amount, we can consider it as approximately $4.10.
4. **Add the sales tax to the sales price to find the total price.**
\[
\text{Total Price} = 51.20 + 4.096 = 55.296
\]
Rounding this gives approximately $55.30.
Therefore, the total price of the shoes including tax is approximately **$55.30**, which corresponds to option **A**.